SOLUTION: What are the exact steps that I need to do in this problem? Let: U=-8+9i, v=4+3i, w=6-4i Solve the following equation for : x ux+v=w so you do x=w-v/u I got it to this point.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: What are the exact steps that I need to do in this problem? Let: U=-8+9i, v=4+3i, w=6-4i Solve the following equation for : x ux+v=w so you do x=w-v/u I got it to this point.      Log On


   

Question 17156: What are the exact steps that I need to do in this problem?
Let: U=-8+9i, v=4+3i, w=6-4i
Solve the following equation for : x
ux+v=w so you do x=w-v/u
I got it to this point.....(6-4i-4+3i)/(-8+9i).
I go to solve it by multiplying the top and bottom by -8+9i and do the formlua
(ac+bd) + (bc-ad)i / c^2+D^2 and then
((ac+bd)/(c^2+d^2))+((bc-ad)/(c^2+d^2))i. Where am I going wrong?







Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Let: U=-8+9i, v=4+3i, w=6-4i
Solve the following equation for : x
ux+v=w so you do x=w-v/u....NO..NO.dont do this way..proceed as follows..firstly your problem needs a small change AS THE PROBLEM YOU MENTIONED HAS NO SOLUTION.(IF YOU SOLVE IT BY THE METHOD GIVEN YOU WILL FIND THAT YOU GET 2 DIFFERENT ANSWERS FOR x MEANING THAT THERE IS NO SOLUTION SATIFYING THE GIVEN EQUATION.DO IT AND CHECK FOR YOUR SELF).hence take it as ux+vy=w
x(-8+9i)+y(4+3i)=(6-4i)
(-8x+4y)+i(9x+3y)=6-4i...the real part on the lhs of the eqn.should equal the real part on rhs of the eqn.same applies to imaginary parts...hence
-8x+4y=6..and 9x+3y=-4...now i think you can solve the 2 simultaneous eqns.